How to Find GCF of 789/82, 870/715?

GCF of 789/82, 870/715

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 789/82, 870/715 i.e 3/58630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 789/82, 870/715.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 789/82,870/715?

Given fractions are 789/82,870/715

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 789/82,870/715, numerators are 789,870

Denominators are 82,715

The GCF of 789,870 is 3 .

LCM of 82,715 is 58630.

The greatest common factor of 789/82,870/715 = [GCF of 789,870]/[LCM of 82,715]= 3/58630

Therefore, the GCF of 789/82,870/715 is 3/58630.

Greatest Common Factor of 789,870

To find the highest common factor of 789,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 789 are 1, 3, 263, 789

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 789,870 is 3.

Lets's calculate GCF of 789,870

Greatest Common Factor (GCF) of 789,870 By Common Division

3	789, 870
	263, 290

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 789,870 By Matching Biggest Common Factor Method

Now, list down the factors of 789

1,3,263,789

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 789,870 . The biggest common factor number is the GCF number.
So the greatest common factor 789,870 is 3.

Lets's calculate LCM of 82,715

Lowest Common Multiple of 82,715 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/58630

Therefore, the GCF of Fractions 789/82,870/715 is 3/58630

Least Common Multiple of 82,715 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 82,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,715) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,715) x common factors =1 x 1 = 1

LCM(82,715) = ( 82 × 715 ) / 1

LCM(82,715) = 58630 / 1

LCM(82,715) = 58630

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 789/82, 870/715

1. What is the HCF of 789,870?

The HCF of 789,870 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 789/82, 870/715?

Answer: GCF of Numerators as per given numbers 789/82, 870/715 is

GCF of Numerators i.e. for 789,870 is 3

LCM of denominators i.e. for 82,715 is 58630.

Thus, GCF of Fractions is 3/58630.Finally, GCF of Fractions for 789/82, 870/715 is 3/58630.